Compression fixed point theorems of operator type

DOI10.1007/S11784-015-0228-1zbMath1342.47070OpenAlexW2031314117MaRDI QIDQ497967

John R. Graef, Xueyan Liu, Richard I. Avery

Publication date: 25 September 2015

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-015-0228-1

zbMATH Keywords

boundary value problemsfixed point theoremsoperatorLeggett-Williams fixed point theorems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10)

Related Items (3)

Existence of positive solutions of a Hammerstein integral equation using the layered compression-expansion fixed point theorem ⋮ Existence of solutions of semilinear systems with gradient dependence via eigenvalue criteria ⋮ Semilinear elliptic systems with dependence on the gradient

Cites Work

• Omitted ray fixed point theorem
• Some fixed point theorems of Leggett-Williams type
• Fixed points of cone compression and expansion multimaps defined on Fréchet spaces: the projective limit approach
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Existence of three positive solutions for some second-order boundary value problems
• Compression-expansion fixed point theorem in two norms and applications
• AN EXTENSION OF FIXED POINT THEOREMS CONCERNING CONE EXPANSION AND COMPRESSION AND ITS APPLICATION
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Fixed point theorem utilizing operators and functionals
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